455121516 has 96 divisors (see below), whose sum is σ = 1187020800. Its totient is φ = 135051840.

The previous prime is 455121481. The next prime is 455121517. The reversal of 455121516 is 615121554.

It is a super-2 number, since 2×455121516² = 414271188652276512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (455121517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308661 + ... + 310131.

It is an arithmetic number, because the mean of its divisors is an integer number (12364800).

Almost surely, 2^455121516 is an apocalyptic number.

455121516 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455121516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593510400).

455121516 is an abundant number, since it is smaller than the sum of its proper divisors (731899284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455121516 is a wasteful number, since it uses less digits than its factorization.

455121516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1577 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 455121516 is about 21333.5771965229. The cubic root of 455121516 is about 769.2056326791.

The spelling of 455121516 in words is "four hundred fifty-five million, one hundred twenty-one thousand, five hundred sixteen".